Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on [Formula: see text] Under Control Constraints

An abstract framework guaranteeing the local continuous differentiability of the value function associated with optimal stabilization problems subject to abstract semilinear parabolic equations subject to a norm constraint on the controls is established. It guarantees that the value function satisfi...

Descripción completa

Detalles Bibliográficos
Autores principales: Kunisch, Karl, Priyasad, Buddhika
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9018668/
https://www.ncbi.nlm.nih.gov/pubmed/35535171
http://dx.doi.org/10.1007/s00245-022-09840-9
_version_ 1784689071089516544
author Kunisch, Karl
Priyasad, Buddhika
author_facet Kunisch, Karl
Priyasad, Buddhika
author_sort Kunisch, Karl
collection PubMed
description An abstract framework guaranteeing the local continuous differentiability of the value function associated with optimal stabilization problems subject to abstract semilinear parabolic equations subject to a norm constraint on the controls is established. It guarantees that the value function satisfies the associated Hamilton–Jacobi–Bellman equation in the classical sense. The applicability of the developed framework is demonstrated for specific semilinear parabolic equations.
format Online
Article
Text
id pubmed-9018668
institution National Center for Biotechnology Information
language English
publishDate 2022
publisher Springer US
record_format MEDLINE/PubMed
spelling pubmed-90186682022-05-07 Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on [Formula: see text] Under Control Constraints Kunisch, Karl Priyasad, Buddhika Appl Math Optim Article An abstract framework guaranteeing the local continuous differentiability of the value function associated with optimal stabilization problems subject to abstract semilinear parabolic equations subject to a norm constraint on the controls is established. It guarantees that the value function satisfies the associated Hamilton–Jacobi–Bellman equation in the classical sense. The applicability of the developed framework is demonstrated for specific semilinear parabolic equations. Springer US 2022-04-13 2022 /pmc/articles/PMC9018668/ /pubmed/35535171 http://dx.doi.org/10.1007/s00245-022-09840-9 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Kunisch, Karl
Priyasad, Buddhika
Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on [Formula: see text] Under Control Constraints
title Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on [Formula: see text] Under Control Constraints
title_full Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on [Formula: see text] Under Control Constraints
title_fullStr Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on [Formula: see text] Under Control Constraints
title_full_unstemmed Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on [Formula: see text] Under Control Constraints
title_short Continuous Differentiability of the Value Function of Semilinear Parabolic Infinite Time Horizon Optimal Control Problems on [Formula: see text] Under Control Constraints
title_sort continuous differentiability of the value function of semilinear parabolic infinite time horizon optimal control problems on [formula: see text] under control constraints
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9018668/
https://www.ncbi.nlm.nih.gov/pubmed/35535171
http://dx.doi.org/10.1007/s00245-022-09840-9
work_keys_str_mv AT kunischkarl continuousdifferentiabilityofthevaluefunctionofsemilinearparabolicinfinitetimehorizonoptimalcontrolproblemsonformulaseetextundercontrolconstraints
AT priyasadbuddhika continuousdifferentiabilityofthevaluefunctionofsemilinearparabolicinfinitetimehorizonoptimalcontrolproblemsonformulaseetextundercontrolconstraints

Ejemplares similares